Embedded Files
Investigation 1: Extending Addition & Subtraction of Fractions
This investigation focuses on estimating sums of fractions and decimals and then moves to finding algorithms for precise computations. It builds on Comparing Bits & Pieces by extending skills with benchmarks, equivalent fractions, and the relationship between decimals and fractions. This investigation also focuses on developing computational understanding and skill in adding and subtracting fractions. In the course of solving problems, students develop strategies for adding and subtracting fractions and mixed numbers.
Investigation 2: Building on Multiplication with Fractions
This investigation focuses on developing computational skill with and understanding of fraction multiplication. Various contexts and models are introduced to help students make sense of when multiplication is appropriate.
Investigation 3: Dividing with Fractions
This investigation explores the operation of division. Everyday situations are used to help students make sense of when division is an appropriate operation.
Investigation 4: Wrapping up the Operations
This investigation concludes the exploration of the four arithmetic operations with fractions, first by considering more abstract relationships among the four operations, and second by considering what kinds of contexts lead to each of the operations in order to highlight their structure. Students work on the ideas of inverse and decomposition, each of which is an important numerical precursor to algebra work.
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